Local growth envelopes and optimal embeddings of generalized Sobolev spacesThe order-sharp estimates for the local growth envelopes of functions from the generalized
Sobolev On sobolev problems associated with actions of lie groupsWe consider
Sobolev problems with nonlocal boundary conditions associated with an action of a
NONPOTENTIALITY OF SOBOLEV SYSTEM AND CONSTRUCTION OF SEMIBOUNDED FUNCTIONALWorks by
S.L.
Sobolev on small-amplitude oscillations of a rotating fluid in 1940’
s stimulated a
On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds manifolds inducing isomorphisms of
Sobolev spaces by the composition rule. We prove that any such mapping
Estimate of the Norm of the Hermite—Fejér Interpolation Operator in Sobolev Spaces operators in one-dimensional and multidimensional periodic
Sobolev spaces are obtained. It is shown that
Regularity of the inverse of a homeomorphism of a Sobolev–Orlicz space of the inverse of ϕ in some
Sobolev–Orlicz space WF 1. We also obtain necessary and sufficient conditions under